Magari, Figurati, Ti Prego

I'm sorry to ask a question that probably doesn't have a good answer, or at least not an easy one, but these three expressions seem to apply to similar situations but I'm not sure. Here's what I know:
Magari - "That would be great", or "I would love that", or "if only I could"
Figurati - not really sure, but it seems to be used in similar situations as Magari
Ti Prego - "if you please", "help yourself", "be my guest", "please do"

I'm sorry to ask a question that probably doesn't have a good answer, or at least not an easy one, but these three expressions seem to apply to similar situations but I'm not sure. Here's what I know:
Magari - "That would be great", or "I would love that", or "if only I could"
Figurati - not really sure, but it seems to be used in similar situations as Magari
Ti Prego - "if you please", "help yourself", "be my guest", "please do"

Aiuto per favore!

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Hey guy....

I've seen "magari" more like "I wish" - Is that a million dollar check? I wish!HERE's a nice little ditty on figurati.
Ti prego - I think you got the gist.

But the natives are just now thinking about awakening from their sleep and they will give far better answers.